use std::{error::Error, fmt};
const MAGIC: [(i32, i32, i32); 64] = [
(-1, -1, 0),
(-2147483648, 0, 0),
(1431655765, 1431655765, 0),
(-2147483648, 0, 1),
(858993459, 858993459, 0),
(715827882, 715827882, 0),
(613566756, 613566756, 0),
(-2147483648, 0, 2),
(477218588, 477218588, 0),
(429496729, 429496729, 0),
(390451572, 390451572, 0),
(357913941, 357913941, 0),
(330382099, 330382099, 0),
(306783378, 306783378, 0),
(286331153, 286331153, 0),
(-2147483648, 0, 3),
(252645135, 252645135, 0),
(238609294, 238609294, 0),
(226050910, 226050910, 0),
(214748364, 214748364, 0),
(204522252, 204522252, 0),
(195225786, 195225786, 0),
(186737708, 186737708, 0),
(178956970, 178956970, 0),
(171798691, 171798691, 0),
(165191049, 165191049, 0),
(159072862, 159072862, 0),
(153391689, 153391689, 0),
(148102320, 148102320, 0),
(143165576, 143165576, 0),
(138547332, 138547332, 0),
(-2147483648, 0, 4),
(130150524, 130150524, 0),
(126322567, 126322567, 0),
(122713351, 122713351, 0),
(119304647, 119304647, 0),
(116080197, 116080197, 0),
(113025455, 113025455, 0),
(110127366, 110127366, 0),
(107374182, 107374182, 0),
(104755299, 104755299, 0),
(102261126, 102261126, 0),
(99882960, 99882960, 0),
(97612893, 97612893, 0),
(95443717, 95443717, 0),
(93368854, 93368854, 0),
(91382282, 91382282, 0),
(89478485, 89478485, 0),
(87652393, 87652393, 0),
(85899345, 85899345, 0),
(84215045, 84215045, 0),
(82595524, 82595524, 0),
(81037118, 81037118, 0),
(79536431, 79536431, 0),
(78090314, 78090314, 0),
(76695844, 76695844, 0),
(75350303, 75350303, 0),
(74051160, 74051160, 0),
(72796055, 72796055, 0),
(71582788, 71582788, 0),
(70409299, 70409299, 0),
(69273666, 69273666, 0),
(68174084, 68174084, 0),
(-2147483648, 0, 5),
];
#[derive(Clone, Debug, Default)]
pub struct BitStorage {
pub data: Vec<u64>,
bits: usize,
mask: u64,
size: usize,
values_per_long: usize,
divide_mul: u64,
divide_add: u64,
divide_shift: i32,
}
#[derive(Debug)]
pub enum BitStorageError {
InvalidLength { got: usize, expected: usize },
}
impl fmt::Display for BitStorageError {
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
match self {
BitStorageError::InvalidLength { got, expected } => write!(
f,
"Invalid length given for storage, got: {got}, but expected: {expected}",
),
}
}
}
impl Error for BitStorageError {}
impl BitStorage {
pub fn new(bits: usize, size: usize, data: Option<Vec<u64>>) -> Result<Self, BitStorageError> {
if let Some(data) = &data {
if data.is_empty() {
return Ok(BitStorage {
data: Vec::new(),
bits,
size,
..Default::default()
});
}
}
debug_assert!((1..=32).contains(&bits));
let values_per_long = 64 / bits;
let magic_index = values_per_long - 1;
let (divide_mul, divide_add, divide_shift) = MAGIC[magic_index];
let calculated_length = (size + values_per_long - 1) / values_per_long;
let mask = (1 << bits) - 1;
let using_data = if let Some(data) = data {
if data.len() != calculated_length {
return Err(BitStorageError::InvalidLength {
got: data.len(),
expected: calculated_length,
});
}
data
} else {
vec![0; calculated_length]
};
Ok(BitStorage {
data: using_data,
bits,
mask,
size,
values_per_long,
divide_mul: divide_mul as u32 as u64,
divide_add: divide_add as u32 as u64,
divide_shift,
})
}
pub fn cell_index(&self, index: u64) -> usize {
let first = self.divide_mul;
let second = self.divide_add;
(((index * first) + second) >> 32 >> self.divide_shift) as usize
}
pub fn get(&self, index: usize) -> u64 {
assert!(
index < self.size,
"Index {index} out of bounds (must be less than {})",
self.size
);
if self.data.is_empty() {
return 0;
}
let cell_index = self.cell_index(index as u64);
let cell = &self.data[cell_index];
let bit_index = (index - cell_index * self.values_per_long) * self.bits;
cell >> bit_index & self.mask
}
pub fn get_and_set(&mut self, index: usize, value: u64) -> u64 {
if self.data.is_empty() {
return 0;
}
debug_assert!(index < self.size);
debug_assert!(value <= self.mask);
let cell_index = self.cell_index(index as u64);
let cell = &mut self.data[cell_index];
let bit_index = (index - cell_index * self.values_per_long) * self.bits;
let old_value = *cell >> (bit_index as u64) & self.mask;
*cell = *cell & !(self.mask << bit_index) | (value & self.mask) << bit_index;
old_value
}
pub fn set(&mut self, index: usize, value: u64) {
if self.data.is_empty() {
return;
}
debug_assert!(index < self.size);
debug_assert!(value <= self.mask);
let cell_index = self.cell_index(index as u64);
let cell = &mut self.data[cell_index];
let bit_index = (index - cell_index * self.values_per_long) * self.bits;
*cell = *cell & !(self.mask << bit_index) | (value & self.mask) << bit_index;
}
#[inline]
pub fn size(&self) -> usize {
self.size
}
pub fn iter(&self) -> BitStorageIter {
BitStorageIter {
storage: self,
index: 0,
}
}
}
pub struct BitStorageIter<'a> {
storage: &'a BitStorage,
index: usize,
}
impl<'a> Iterator for BitStorageIter<'a> {
type Item = u64;
fn next(&mut self) -> Option<Self::Item> {
if self.index >= self.storage.size {
return None;
}
let value = self.storage.get(self.index);
self.index += 1;
Some(value)
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_wikivg_example() {
let data = [
1, 2, 2, 3, 4, 4, 5, 6, 6, 4, 8, 0, 7, 4, 3, 13, 15, 16, 9, 14, 10, 12, 0, 2,
];
let compact_data: [u64; 2] = [0x0020863148418841, 0x01018A7260F68C87];
let storage = BitStorage::new(5, data.len(), Some(compact_data.to_vec())).unwrap();
for (i, expected) in data.iter().enumerate() {
assert_eq!(storage.get(i), *expected);
}
}
}